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We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads. Using the tools of adiabatic expansion, we develop a self-contained thermodynamic description of this model…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Daniele Nello , Alessandro Silva

Phases arising from cyclic processes are fundamental in physics, bridging quantum and classical domains and providing deeper insights into the topology and dynamics of physical systems. This study investigates the accumulation of a…

Classical Physics · Physics 2026-05-13 Kazi T. Mahmood , M. Arif Hasan

We present a formalism to study adiabatic pumping through a superconductor - normal - superconductor weak link. At zero temperature, the pumped charge is related to the Berry phase accumulated, in a pumping cycle, by the Andreev bound…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Governale , F. Taddei , F. W. J. Hekking , Rosario Fazio

The Berry phase is a geometric phase acquired during adiabatic evolution over a closed loop in parameter space. It plays an essential role in geometric quantum gates and other phase-based protocols. In non-Hermitian systems, the Berry phase…

Quantum Physics · Physics 2026-05-19 Pratik J. Barge , Qian Cao , Niklas Hörnedal , Aurélia Chenu , Kater W. Murch

Berry phases have long been known to significantly alter the properties of periodic systems, resulting in anomalous terms in the semiclassical equations of motion describing wave-packet dynamics. In non-Hermitian systems, generalizations of…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Bar Alon , Roni Ilan , Moshe Goldstein

Geometrical properties of energy bands underlie fascinating phenomena in a wide-range of systems, including solid-state materials, ultracold gases and photonics. Most famously, local geometrical characteristics like the Berry curvature can…

Optics · Physics 2017-12-20 Martin Wimmer , Hannah M. Price , Iacopo Carusotto , Ulf Peschel

We consider the motion of a particle in a force field subjected to adiabatic, fluctuations of external origin. We do not put the restriction on the type of stochastic process that the noise is Gaussian. Based on a method developed earlier…

Statistical Mechanics · Physics 2007-05-23 Suman Kumar Banik , Jyotipratim Ray Chaudhuri , Deb Shankar Ray

We consider a classical overdamped Brownian particle moving in a symmetric periodic potential. We show that a net particle flow can be produced by adiabatically changing two external periodic potentials with a spatial and a temporal phase…

Statistical Mechanics · Physics 2009-11-07 O. Usmani , E. Lutz , M. Buttiker

We present an adaptive variational quantum algorithm to estimate the Berry phase accumulated by a nondegenerate ground state under cyclic, adiabatic evolution of a time-dependent Hamiltonian. Our method leverages cyclic adiabatic evolution…

Quantum Physics · Physics 2026-02-09 Martin Mootz , Yong-Xin Yao

We study how the non-adiabatic effect causes the observable fluctuation in the "geometric phase" for a two-level system, which is defined as the experimentally measurable quantity in the adiabatic limit. From the Rabi's exact solution to…

Quantum Physics · Physics 2009-08-08 Qing Ai , Wenyi Huo , Gui Lu Long , C. P. Sun

Motivated by recent progress of quantum technologies, we study a discretized quantum adiabatic process for a one-dimensional free fermion system described by a variational wave function, i.e., a parametrized quantum circuit. The wave…

Quantum Physics · Physics 2021-01-06 Tomonori Shirakawa , Kazuhiro Seki , Seiji Yunoki

The time evolution of periodically driven non-Hermitian systems is in general non-unitary but can be stable. It is hence of considerable interest to examine the adiabatic following dynamics in periodically driven non-Hermitian systems. We…

Quantum Physics · Physics 2018-05-30 Jiangbin Gong , Qing-hai Wang

The nonadiabatic quantum kinetic equations and Dirac-Heisenberg-Wigner formalism for Schwinger pair production in a spatially uniform and time-varying electric field with multiple components are derived and proven to be equivalent. The…

High Energy Physics - Theory · Physics 2025-03-05 Z. L. Li , R. Z. Jiang , Y. J. Li

In the adiabatic and weak-modulation quantum pump, net electron flow is driven from one reservoir to the other by absorbing or emitting an energy quantum $\hbar \omega $ from or to the reservoirs. In our approach, high-order dependence of…

Mesoscale and Nanoscale Physics · Physics 2009-11-09 Rui Zhu

We investigate the quantum effects, in particular the Landau-level quantization, in the scattering of a particle the nonadiabatic classical dynamics of which is governed by an adiabatic invariant. As a relevant example, we study the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 F. Dahlem , F. Evers , A. D. Mirlin , D. G. Polyakov , P. Woelfle

Motivated by a recent proposal on the possibility of observing a monopole in the band structure, and by an increasing interest on the role of Berry phase in spintronics, we studied the adiabatic motion of a wave packet of Bloch functions,…

Mesoscale and Nanoscale Physics · Physics 2010-04-05 Ryuichi Shindou , Ken-Ichiro Imura

We review recent theoretical calculations of charge transfer through mesoscopic devices in response to slowly-oscillating, spatially-confined, potentials. The discussion is restricted to non-interacting electrons, and emphasizes the role of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ora Entin-Wohlman , Amnon Aharony , Vyacheslavs Kashcheyevs

Quantum transport in a one-dimensional (1D) quasiperiodic lattice with mobility edges is explored. We first investigate the adiabatic pumping between left and right edge modes by resorting to two edge-bulk-edge channels and demonstrate that…

Quantum Physics · Physics 2022-06-22 Yan Xing , Lu Qi , Xuedong Zhao , Zhe Lü , Shutian Liu , Shou Zhang , Hong-Fu Wang

We consider a quantum gas of non-interacting particles confined in the expanding cavity, and investigate the nature of the non-adiabatic force which is generated from the gas and acts on the cavity wall. Firstly, with use of the…

Quantum Physics · Physics 2015-05-28 K. Nakamura , S. K. Avazbaev , Z. A. Sobirov , D. U. Matrasulov , T. Monnai

We consider the process of pumping charge through an open quantum system, motivated by the example of a quantum dot with strong repulsive or attractive electron-electron interaction. Using the geometric formulation of adiabatic nonunitary…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 T. Pluecker , M. R. Wegewijs , J. Splettstoesser